Nonarchimedean Fields and Asymptotic Expansions (e-bog) af Robinson, Abraham
Robinson, Abraham (forfatter)

Nonarchimedean Fields and Asymptotic Expansions e-bog

473,39 DKK (inkl. moms 591,74 DKK)
North-Holland Mathematical Library, Volume 13: Nonarchimedean Fields and Asymptotic Expansions focuses on the connection between nonarchimedean systems and the orders of infinity and smallness that are related with the asymptotic behavior of a function. The publication first explains nonarchimedean fields and nonstandard analysis. Discussions focus on the method of mathematical logic, ultrapow...
E-bog 473,39 DKK
Forfattere Robinson, Abraham (forfatter)
Forlag North Holland
Udgivet 3 juni 2016
Længde 214 sider
Genrer PBF
Sprog English
Format pdf
Beskyttelse LCP
ISBN 9781483257440
North-Holland Mathematical Library, Volume 13: Nonarchimedean Fields and Asymptotic Expansions focuses on the connection between nonarchimedean systems and the orders of infinity and smallness that are related with the asymptotic behavior of a function. The publication first explains nonarchimedean fields and nonstandard analysis. Discussions focus on the method of mathematical logic, ultrapower construction, principles of permanence, internal functions, many-sorted structures, nonarchimedean fields and groups, and fields with evaluation. The text then discusses the Euler-Maclaurin expansions and the formal concept of asymptotic expansions. Topics include a generalized criterion for asymptotic expansions, asymptotic power series, Watson's Lemma, asymptotic sequences, and the Euler-Maclaurin formula. The manuscript examines Popken space, including asymptotically finite functions, convergence, norm, algebraic properties of the norm, and Popken's description of the norm. The text is a dependable reference for mathematicians and researchers interested in nonarchimedean fields and asymptotic expansions.